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Finding the Third Proportional to 12,399.50 and 25,459

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Solution

The third proportional to 12,399.50 and 25,459 is: 52,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.50 : 25,459 = 25,459 : x
  2. Step 2: Convert to fraction form
    12,399.50/25,459 = 25,459/x
  3. Step 3: Cross multiply
    12,399.50x = 25,459 × 25,459
  4. Step 4: Simplify right side
    12,399.50x = 648,160,681
  5. Step 5: Solve for x
    x = 648,160,681/12,399.50
  6. Step 6: Final answer
    x = 52,273.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.